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Title:
Ordering numbers through the billions
Subject:
math
Grade:
5th
Purpose:
TLW be able to order numbers through the billions
Time Frame:
One 90 minute lesson
Summary:
Students will learn to order 10 - 12 digit numbers and be able to explain the process.
Tasks:
Set:
1.Given the scenario that the population of Asia is 3,834,792,852 while the population of the rest of the world is 3,010,817,108. ask pairs* of students to discuss these questions:
  • Are there more people in Asia or in the rest of the world? (Asia)
  • Which number is larger: 3,834,792,852 or 3,010,817,108? (So 3,834,792,852 is greater (larger) than3,010,817,108.) Stress the comparative language.
  • Which number is smaller? (So 3,010,817,108is less (smaller) than 3,834,792,852.)
  • Which symbol (<,>, or =) would you use to compare 3,834,792,852 and 3,010,817,108? 3,010,817,108 and 3,834,792,852?
Mini-lesson:
  • Using number cards of 10 - 12 digit numbers created in the previous lesson, table groups will order their numbers from least to greatest.
  • Using facilitating questions the teacher will lead a discussion on ordering numbers:
    • When we put numbers in order from least to greatest, which place do we look at first? Why? (If necessary, clarify the terms least to greatest making connections to the words less than and greater than. Remind students to look at the greatest place value column in the list of given numbers.
    • What is the largest place value of each of the numbers?
    • What is the smallest number in the sequence? How do you know?
    • What number would come next? How do you know?
    • Is it possible to put these numbers in order from least (smallest) to greatest (largest) without looking at the ones column? Why or why not?
    • How would this process change if we were ordering the numbers from greatest to least.
  • Guided Practice:
    • Activity 1 With a partner, students will sequence 5 numbers from least to greatest. They will then use ActiVotes to enter the letter on the ActiVote that shows the numbers in the correct order.. (Answers will not be shared whole class. The teacher will make private note of the number of successful and non-successful students.) Pairs of students then share their answers with another pair and come to an agreement of the correct order.They will then use ActiVotes to enter the letter that shows the correct response that the 2 pairs of students agreed on. Results of answers are shared and discussed.
    • Activity 2 Working with a partner, students will create a video sharing how to order the same numbers in Activity 1 but in order from Greatest to Least. Using appropriate academic language, students need to include an explanation of the process being used to decide how to order the numbers. These videos will be posted
  • Reflection:
  1. Students will view another pairs' video and compare it to their own product looking for process and academic vocabulary.
Objectives:
  • 5.1A Use place value to read, write, compare, and order whole numbers through the 999,999,999,999
  • 5.15A Explain and record observations using objects, words, pictures, numbers and technology
  • 5.15B Relate informal language to mathematical language and symbols.(TAKS 6)
  • 5.16B Justify why an answer is reasonable and explain the solution process
Assessment:
Students will find answers to given word problems involving ordering 10 - 12 digit numbers from least to greatest and greatest to least.
Resources:
  • ActiVotes
  • Wikis
  • Number Cards from previous lesson
*
Examples:
  • Links to teacher or student examples.
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